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505431141 = 31923385531
BaseRepresentation
bin11110001000000…
…100010001100101
31022020001120011220
4132020010101211
52013342244031
6122053050553
715345044115
oct3610042145
91266046156
10505431141
1123a336996
12121326a59
13809371a7
144b1ab045
152e58c596
hex1e204465

505431141 has 16 divisors (see below), whose sum is σ = 740221440. Its totient is φ = 305339760.

The previous prime is 505431119. The next prime is 505431151. The reversal of 505431141 is 141134505.

It is a happy number.

It is not a de Polignac number, because 505431141 - 25 = 505431109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505431151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191455 + ... + 194076.

It is an arithmetic number, because the mean of its divisors is an integer number (46263840).

Almost surely, 2505431141 is an apocalyptic number.

It is an amenable number.

505431141 is a deficient number, since it is larger than the sum of its proper divisors (234790299).

505431141 is a wasteful number, since it uses less digits than its factorization.

505431141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385576.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 505431141 is about 22481.7957690217. The cubic root of 505431141 is about 796.5639826299.

Adding to 505431141 its reverse (141134505), we get a palindrome (646565646).

The spelling of 505431141 in words is "five hundred five million, four hundred thirty-one thousand, one hundred forty-one".

Divisors: 1 3 19 23 57 69 437 1311 385531 1156593 7325089 8867213 21975267 26601639 168477047 505431141